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Simplifying 3(3x + 1) + 5(x + -1) = 0 Reorder the terms: 3(1 + 3x) + 5(x + -1) = 0 (1 * 3 + 3x * 3) + 5(x + -1) = 0 (3 + 9x) + 5(x + -1) = 0 Reorder the terms: 3 + 9x + 5(-1 + x) = 0 3 + 9x + (-1 * 5 + x * 5) = 0 3 + 9x + (-5 + 5x) = 0 Reorder the terms: 3 + -5 + 9x + 5x = 0 Combine like terms: 3 + -5 = -2 -2 + 9x + 5x = 0 Combine like terms: 9x + 5x = 14x -2 + 14x = 0 Solving -2 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 14x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 0 + 2 14x = 0 + 2 Combine like terms: 0 + 2 = 2 14x = 2 Divide each side by '14'. x = 0.1428571429 Simplifying x = 0.1428571429
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